Casimir interaction between two concentric cylinders: Exact versus semiclassical results

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 67, Issue 1, 2003, Pages 11-

  Mazzitelli, Francisco D ^a   Sánchez, María J ^a   Scoccola, Norberto N ^b,c   von Stecher, Javier ^a  

^a UNIVERSIDAD DE BUENOS AIRES   (Argentina)

^b DEPARTAMENTO DE FÍSICA   (Argentina)

^c FAVALORO UNIVERSITY   (Argentina)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 85037208092     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.67.013807     Document Type: Article

References (35)

1. H.B.G. Casimir, Proc. K. Ned. Akad. Wet. 51, 793 (1948);V. M. Mostepanenko and N. N. Trunov, The Casimir Effect and its Applications (Clarendon, London, 1997);M. Bordag, The Casimir Effect 50 Years Later (World Scientific, Singapore, 1999);P. Milonni, The Quantum Vacuum (Academic Press, San Diego, 1994)
2. G. Plunien, B. Muller, and W. Greiner, Phys. Rep. 134, 87 (1986).
3. G. Bressi, G. Carugno, R. Onofrio, and G. Ruoso, Phys. Rev. Lett. 88, 041804 (2002).
4. S.K. Lamoreaux, Phys. Rev. Lett. 78, 5 (1997).
5. U. Mohideen and A. Roy, Phys. Rev. Lett. 81, 4549 (1998)
6. B.W. Harris, F. Chen, and U. Mohideen, Phys. Rev. A 62, 052109 (2000).
7. H.B. Chan, Science 291, 1941 (2001).
8. H.B. Chan, Phys. Rev. Lett. 87, 211801 (2001).
9. M. Bordag, U. Mohideen, and V.M. Mostepanenko, Phys. Rep. 353, 1 (2001).
10. T.H. Boyer, Phys. Rev. 174, 1764 (1968).
11. V.V. Nesterenko and I.G. Pirozhenko, Phys. Rev. D 57, 1284 (1997).
12. M.E. Bowers and C.R. Hagen, Phys. Rev. D 59, 02 007 (1999).
13. L.L. DeRaad, Jr., and K. Milton, Ann. Phys. (N.Y.) 136, 229 (1981).
14. K.A. Milton, A.V. Nesterenko, and V.V. Nesterenko, Phys. Rev. D 59, 105 009 (1999).
15. P. Gosdzinsky and A. Romeo, Phys. Lett. B 441, 265 (1998).
16. B.V. Derjaguin and I.I. Abriksova, Sov. Phys. JETP 3, 819 (1957)
17. B.V. Derjaguin, Sci. Am. 203, 47 (1960).
18. M. Schaden and L. Spruch, Phys. Rev. Lett. 84, 459 (2000).
19. A.A. Saharian, Phys. Rev. D 63, 125007 (2001)
20. See Plunien et al., in Ref 1.
21. R. Balian and B. Duplantier, Ann. Phys. (N.Y.) 112, 165 (1978).
22. M. Schaden and L. Spruch, Phys. Rev. A 58, 935 (1998).
23. H. Weyl, J. Reine Angew. Math. 141, 163 (1912).
24. R. Balian and C. Bloch, Ann. Phys. (N.Y.) 60, 401 (1970)
25. Ann. Phys. (N.Y.)R. BalianC. Bloch63, 592 (1971).
26. H. P. Baltes and E. R. Hilf, Spectra of Finite Systems (Wissenschaftsverlag, Mannheim, 1976).
27. R. Balian and C. Bloch, Ann. Phys. (N.Y.) 69, 76 (1972).
28. M.V. Berry and M. Tabor, Proc. R. Soc. London, Ser. A 349, 101 (1976).
29. M. C. Gutzwiller, Classical and Quantum Mechanics (Springer-Verlag, New York, 1990).
30. For a review, see, for example, M. Brack and R. K. Bhaduri, Semiclassical Physics (Addison-Wesley, Reading, MA, 1997);K. Richter, Semiclassical Theory of Mesoscopic Quantum Systems (Springer, Berlin, 2000).
31. R. Balian and B. Duplantier, Ann. Phys. (Paris) 104, 300 (1977).
32. M. J. Sánchez (unpublished).
33. J. Blocki, J. Randrup, W.J. Swiatecki, and F. Tsang, Ann. Phys. 105, 427 (1977).
34. For simplicity, to compute the limit (Formula presented) we assumed (Formula presented) The final result for the Casimir energy does not depend on this particular choice.
35. G.J. Maclay, H. Fearn, and P.W. Milonni, e-print quant-ph/0105002.